On the existence of solutions of one-dimensional fourth-order equations

S.  Shokooh; G. A.  Afrouzi; A. Hadjian

doi:10.37863/umzh.v72i11.569

S. Shokooh Gonbad Kavous Univ., Iran
G. A. Afrouzi Univ. Mazandaran, Babolsar, Iran
A. Hadjian Univ. Bojnord, Iran

DOI: https://doi.org/10.37863/umzh.v72i11.569

Keywords: Non-trivial solution, Variational methods, Dirichlet problem

Abstract

UDC 517.9

Using variational methods and critical point theorems, we prove the existence of nontrivial solutions for one-dimensional fourth-order equations. Multiplicity results are also pointed out.

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